Page:Elektrische und Optische Erscheinungen (Lorentz) 016.jpg

 certain point of space, constitutes an electric current ('s displacement current) that can be represented by $$\dot{\mathfrak{d}}$$. We assume that it exists also in the interior of charged matter. Yet additionally we find a convection current $$\mathfrak{C}$$ there. This is considered by me, when $$\mathfrak{v}$$ is the velocity of ponderable matter, as given in magnitude and direction by

$$\mathfrak{C}=\rho\mathfrak{v}$$

and I put for the total current

In charged matter, $$\mathfrak{v}$$ shall continuously vary from point to point. Additionally the charge of every mass element shall stay unchanged during the motion. Thus $$\rho\omega$$ must be constant, when $$\omega$$ is the — maybe variable — volume of the element.

From this assumption we derive the property of solenoid distribution for the total current, which will be expressed by

§ 7. The second deviation of the equilibrium state of the aether will be determined by the magnetic force $$\mathfrak{H}$$. It depends on the instantaneous current distribution, and satisfies the requirements

whose applicability we also presuppose for the interior of ponderable matter.

Eventually we also assume the relation, for the interior of the ions as well as for the interspaces, by which in 's theory the dielectric displacement